2A/B DIVIDED BY 4A/B
F. 8A2/b2
G. 1/2
H. A/2B
J. 2
Well that’s not helpful
To divide 2A/B by 4A/B, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4A/B is B/4A.
So, the division can be written as:
(2A/B) / (4A/B) = (2A/B) * (B/4A)
Now, simplify this expression by canceling out like terms:
(2A * B) / (B * 4A)
Canceling out B in the numerator and denominator:
2A / (4A)
Simplifying further, we can divide 2A by 4A:
2/4
Finally, reducing the fraction:
1/2
Therefore, the answer is G. 1/2.
To simplify the expression (2A/B) divided by (4A/B), we can follow these steps:
Step 1: Understand the formula
In this case, we have a fraction divided by another fraction.
Step 2: Convert division to multiplication
To make things simpler, we can rewrite the expression as (2A/B) multiplied by the reciprocal of (4A/B).
Step 3: Simplify the expression
When multiplying fractions, we multiply the numerators together and the denominators together. So, the expression becomes:
(2A * B) / (B * 4A)
Simplifying further, we have:
(2AB) / (4AB)
Step 4: Reduce common factors
We notice that the numerator (2AB) and denominator (4AB) have a common factor, which is AB. By canceling out this common factor, we get:
2 / 4
Step 5: Simplify the fraction if possible
The fraction 2/4 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 2.
2 divided by 2 equals 1, and 4 divided by 2 equals 2. Therefore:
2/4 = 1/2
So, the simplified expression for (2A/B) divided by (4A/B) is 1/2.
Therefore, the correct answer is option G: 1/2.
First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you.
2A/B divided by 4A/B = 2A/B * B/4A
Since the A and B terms cancel each other out, What are you left with?